JEE Main 2016MathematicsPermutation CombinationMediumMCQ

JEE Main 2016 — Permutation Combination Question with Solution

JEE Main 2016 (10 Apr Online)

Question

If n+2C6n-2P2=11, then n satisfies the equation:

Choose an option

Show full solutionCorrect option: C
Correct answer
Cn2+3n-108=0

Step-by-step explanation

n+2C6n-2P2=11

⇒ n+2 n+1 n n-1 n-2 n-36 .5 . 4 . 3. 2. 1 n-2 n-3=11

⇒ n+2 n+1 nn-1=11.10.9.8

⇒ n=9

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About this question

This is a previous-year question from JEE Main 2016, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.